Incorporation of Finite Pulse Correction for Improved MT-Corrected Multicomponent T2 analysis of Cartilage
Fang Liu1, Alexey Samsonov1, Wally Block2, and Richard Kijowski1

1Department of Radiology, University of Wisconsin-Madison, Madison, WI, United States, 2Department of Medical Physics, University of Wisconsin-Madison, Madison, WI, United States

Synopsis

Nuclear magnetic resonance studies have identified multiple water components within cartilage tissue. Previous studies using steady-state sequences based rapid method such as mcDESPOT and mcRISE have shown feasibility of multicomponent T2 analysis of cartilage. However, steady-state signal can be influenced by the finite pulse effect which might lead to biased parameter estimation. In this study, we incorporated the finite pulse correction in the mcRISE model and demonstrated the potential MT and finite pulse effect in-sensitive T2 parameters for multicomponent cartilage relaxometry analysis.

Introduction

Previous study using rapid T2 mapping techniques such as mcDESPOT have shown the feasibility of multi-component T2 analysis of human knee joint (1,2). A modified mcDESPOT termed as mcRISE was also proposed to correct the signal derivation raised by the magnetization transfer (MT) (3). Both of those techniques take advantages of steady-state sequences for rapid acquisition. However, recent studies have shown the steady-state signal could be affected by the finite pulse effect (4,5). Without proper modeling, the finite pulse effect may bias relaxation parameter estimation (4,5). In this study, we incorporated the finite pulse correction in the mcRISE model and compared it with original mcDESPOT and mcRISE without correction. The modified mcRISE model may provide both MT and finite pulse effect in-sensitive T2 parameters which can increase the robustness and accuracy for multicomponent cartilage relaxometry analysis.

Theory

A bi-component mcDESPOT model is typically applied to characterize the fast (F) and slowly (S) relaxing water components. The mcRISE model introduces an extra macromolecule bound proton component through MT. The multicomponent T2 parameters can be obtained by fitting the model with spoiled gradient echo (SPGR) and balanced steady-state free precession (bSSFP) signals at varying flip angle (i.e. mcDESPOT) and at varying RF width (TRF) (i.e. mcRISE). However, the assumption of instantaneous RF pulses may not be appropriate in the scenario of long RF pulse at short repetition time (TR) where the RF pulse could be around 30% of entire TR. A finite pulse correction can be performed by modification of the transverse relaxation dependent on the ratio of RF pulse width and repetition time as described as (4,6) $$$T_{2corr}=T_{2}(1-\xi\frac{T_{RF}}{TR})^{-1}$$$ where $$$\xi=0.68-0.125(1+\frac{T_{RF}}{TR})\frac{T_{2}}{T_{1}}.$$$ An incremental fitting approach is applied to fit for the parameters of mcRISE model. The bound pool fraction f and exchange rate k are first derived using varying RF pulse width bSSFP (bSSFPv) in a simplified two-pool model. Then, f and k as fixed parameters are applied in the full model to correct MT effect for T2S, T2F and fast water fraction fF (Figure 1). To correct the finite pulse effect, the apparent T2 transverse time in model equations is substituted with the modified T2 for each image voxel at both simplified and full model fit.

Methods

A knee scan was performed on a healthy adult using a GE MR750 3.0T scanner. The imaging parameters included: 1) SPGR scans with TR/TE=4.6/2.2ms over 8 flip angles from 3° to 18°); 2) Two bSSFP scans with RF phase cycling on (bSSFP180) and off (bSSFP0), with TR/TE=5.0/2.4ms over 8 flip angles from 2° to 50°); 3) One bSSFPv scans over a range of 8 RF pulse width from TRF/TR=0.2/5.6ms to 2/6.5ms and α=35°. 4) Inversion recovery SPGR scan with TR/TE=4.6/2.2ms, TI=450ms, and α=5°. All scans were performed in the sagittal plane with a 16cm field of view, 256×256 matrix, 3mm thickness. The full set of image data was applied to mcRISE model fit with and without finite pulse correction. A subset of image data excluding bSSFPv was applied to the mcDEPOT model fit. Relaxometry parameters including T2, T2F, T2S, fF, f and k are compared across different methods.

Results/Discussion

mcRISE was able to create T2 and water fraction maps for the both fast and slow relaxing water components and f and k maps of the entire knee joint at 3.0T (Figure 2). As shown in our previous studies, mcRISE provides higher single component T2, T2F, T2S and lower fF values compared to values obtained from mcDESPOT (Table 1)(3). The mcDESPOT parameters are strongly influenced by the MT exchange, correcting which can provide MT in-sensitive multicomponent T2 parameters analysis. The finite pulse effect has a non-negligible influence on the steady-state sequences. The T2, f and k are lower in the mcRISE after finite pulse correction which agrees well with previous studies using finite pulse correction in the brain imaging (7). In addition, the T2F and T2S have lower values in the mcRISE after finite pulse correction, while the fast water faction fF shows an increased value after correction. This in-vivo finding corresponds well with our simulation data (not shown). Due to the fact that the finite pulse and MT effect could influence multi-component T2 parameters in a rather complex way, this proposed combined finite pulse and MT correction may provide more robust and accurate relaxometry analysis of articular cartilage. However, there is need for further studies in human subjects and ex-vivo studies on cartilage specimens with histologic correlation to determine the sensitivity and specificity of these new parameters to disease-related changes in the cartilage matrix.

Acknowledgements

The work was supported by NIH R01NS065034, NIH R01 AR068373-01, and GE Healthcare.

References

1. Liu F, Choi KW, Samsonov A, Spencer RG, Wilson JJ, Block WF, Kijowski R. Articular Cartilage of the Human Knee Joint: In Vivo Multicomponent T2 Analysis at 3.0 T. Radiology 2015:142201.

2. Liu F, Chaudhary R, Hurley SA, Munoz Del Rio A, Alexander AL, Samsonov A, Block WF, Kijowski R. Rapid multicomponent T2 analysis of the articular cartilage of the human knee joint at 3.0T. J Magn Reson Imaging 2014;39(5):1191-1197.

3. Liu F, Block WF, Kijowski R, Samsonov A. Rapid multicomponent relaxometry in steady state with correction of magnetization transfer effects. Magn Reson Med 2015.

4. Bieri O, Scheffler K. SSFP signal with finite RF pulses. Magn Reson Med 2009;62(5):1232-1241.

5. Crooijmans HJ, Scheffler K, Bieri O. Finite RF pulse correction on DESPOT2. Magn Reson Med 2011;65(3):858-862.

6. Zhang J, Kolind SH, Laule C, MacKay AL. How does magnetization transfer influence mcDESPOT results? Magn Reson Med 2014.

7. Gloor M, Scheffler K, Bieri O. Finite RF Pulse Effects on Quantitative Magnetization Transfer Imaging Using Balanced SSFP. Proc Intl Soc Mag Reson Med. Sweden, Stockholm 2010, abstract 5143.

Figures

Figure1. mcRISE processing workflow

Figure 2. Comparison of mcDESPOT, mcRISE and mcRISE with finite pulse correction in one sagittal slice of knee joint of a healthy volunteer, the difference map between two mcRISE methods ΔmcRISE is equal to (mcRISE with correction - mcRISE )/ mcRISE with correction.

Table 1. Averaged parameter values from mcDESPOT, mcRISE and mcRISE with finite pulse correction in a patellar ROI of the central slice of the knee joint



Proc. Intl. Soc. Mag. Reson. Med. 24 (2016)
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